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Finding the Third Proportional to 42,707.25 and 67,880.53

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Solution

The third proportional to 42,707.25 and 67,880.53 is: 107,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,707.25 : 67,880.53 = 67,880.53 : x
  2. Step 2: Convert to fraction form
    42,707.25/67,880.53 = 67,880.53/x
  3. Step 3: Cross multiply
    42,707.25x = 67,880.53 × 67,880.53
  4. Step 4: Simplify right side
    42,707.25x = 4,607,766,522.78
  5. Step 5: Solve for x
    x = 4,607,766,522.78/42,707.25
  6. Step 6: Final answer
    x = 107,891.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.